English

Some results on Ricatti Equations, Floquet Theory and Applications

Classical Analysis and ODEs 2017-10-31 v3 Dynamical Systems

Abstract

In this paper, we present two new results to the classical Floquet theory, which provides the Floquet multipliers for two classes of the planar periodic system. One these results provides the Floquet multipliers independently of the solution of system. To demonstrate the application of these analytical results, we consider a cholera epidemic model with phage dynamics and seasonality incorporated.

Keywords

Cite

@article{arxiv.1705.02373,
  title  = {Some results on Ricatti Equations, Floquet Theory and Applications},
  author = {Anderson L. A. de Araujo and Abílio Lemos and Alexandre M. Alves and Kennedy M. Pedroso},
  journal= {arXiv preprint arXiv:1705.02373},
  year   = {2017}
}